Weighted Triangular Norms Using Generating Functions

International Journal of Intelligent Systems

Volumn 19, Issue 3, 2004, Pages 217-231

  Yager, Ronald R ^a  

^a MACHINE INTELLIGENCE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATIC PROGRAMMING; FORMAL LOGIC; FUNCTIONS; FUZZY SETS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS;

ADDITIVE GENERATORS; GENERATING FUNCTIONS; UNINORM AGGREGATIONS;

INTELLIGENT AGENTS;

EID: 1642356714     PISSN: 08848173     EISSN: None     Source Type: Journal    
DOI: 10.1002/int.10162     Document Type: Article

References (24)

1. Klement EP, Mesiar R, Pap E. Triangular norms. Dordrecht: Kluwer Academic Publishers; 2000.
2. Yager RR. Multiple objective decision making using fuzzy sets. Int J Man Mach Stud 1977;9:375-382.
3. Yager RR. Fuzzy decision making using unequal objectives. Fuzzy Sets Syst 1978;1:87-95.
4. Yager RR. A new methodology for ordinal multiple aspect decisions based on fuzzy sets. Decis Sci 1981;12:589-600.
5. Yager RR. A note on weighted queries in information retrieval systems. J Am Soc Inf Sci 1987;38:23-24.
6. Yager RR. On the inclusion of importances in multi-criteria decision making in the fuzzy set framework. Int J Expert Syst Res Appl 1992;5:211-228.
7. Yager RR. Structures generated from weighted fuzzy intersection and union. J Chin Fuzzy Syst Assoc 1996;2:37-58.
8. Dubois D, Prade H. Weighted minimum and maximum operations in fuzzy sets theory. Inf Sci 1986;39:205-210.
9. Dubois D, Prade H, Testemale C. Weighted fuzzy pattern matching. Fuzzy Sets Syst 1988;28:313-331.
10. Sanchez E. Importance in knowledge systems. Inf Syst 1989:14:455-464.
11. Dombi J. Structure of fuzzy set-theoretic operators from the point of view of multi-attribute decision making. PhD thesis, Szeged, 1993. (In Hungarian.)
12. Calvo T, Mesiar R. Weighted triangular norms-based aggregation operators. Fuzzy Sets Syst. In press.
13. Yager RR, Rybalov A. Uninorm aggregation operators. Fuzzy Sets Syst 1996;80:111-120.
14. Yager RR. Defending against strategic manipulation in uninorm based multi-agent decision making. Eur J Oper Res 2002;141:217-232.
15. Dubois D, Prade H. A review of fuzzy sets aggregation connectives. Inf Sci 1985;36:85-121.
16. Fodor J, Roubens M. Fuzzy preference modelling and multicriteria decision support. Dordrecht: Kluwer Academic Publishers; 1994.
17. Klir GJ, Yuan B. Fuzzy sets and fuzzy logic: Theory and applications. Upper Saddle River, NJ: Prentice Hall; 1995.
18. Ling CM. Representation of associative functions. Publ Math Debrecer 1965;12:189-212.
19. Yager RR. On a general class of fuzzy connectives. Fuzzy Sets Syst 1980:4:235-242.
20. Frank M.J. On the simultaneous associativity of F(x, y) and x + y -F(x, y). Aequationes Math 1979:19:194-226.
21. Fodor JC, Yager RR., Rybalov A. Structure of uni-norms. Int J Uncertain Fuzziness Knowl Based Syst 1997;5:411-427.
22. De Baets B, Fodor J. On the structure of uninorms and their residual implicators. In: Proc 18th Linz Seminar on Fuzzy Set Theory. Linz, Austria; 1997. pp 81-87.
23. De Baets B. Uninorms: The known classes. In: Ruan D, Abderrahim HA, D'hondt P, Kerre EE, editors. Fuzzy logic and intelligent technologies for nuclear science and industry. Singapore: World Scientific; 1998. pp 21-28.
24. Klement EP, Mesiar R, Pap E. On the relationship of associative compensatory operators to triangular norms and conorms. Int J Uncertain Fuzziness Knowl Based Syst 1996;4: 129-144.